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Finding the Fourth Proportional to 4,198.29, 5,794.29 and 2,605.22

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Solution

The fourth proportional to 4,198.29, 5,794.29 and 2,605.22 is: 3,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.29 : 5,794.29 = 2,605.22 : x
  2. Step 2: Convert to fraction form
    4,198.29/5,794.29 = 2,605.22/x
  3. Step 3: Cross multiply
    4,198.29x = 5,794.29 × 2,605.22
  4. Step 4: Simplify right side
    4,198.29x = 15,095,414.68
  5. Step 5: Solve for x
    x = 15,095,414.68/4,198.29
  6. Step 6: Final answer
    x = 3,595.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.